Heisenberg limit for displacements with semiclassical states | Zendy

Alfredo Luis | Zendy

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Heisenberg limit for displacements with semiclassical states

Author(s) -

Alfredo Luis

Publication year - 2004

Publication title -

physical review a

Language(s) - English

Resource type - Journals

eISSN - 1094-1622

pISSN - 1050-2947

DOI - 10.1103/physreva.69.044101

Subject(s) - semiclassical physics , physics , heisenberg limit , limit (mathematics) , inverse , root mean square , harmonic oscillator , quantum limit , robustness (evolution) , displacement (psychology) , mean squared displacement , quantum mechanics , quantum , statistical physics , mathematical analysis , quantum information , psychology , quantum network , biochemistry , chemistry , geometry , mathematics , psychotherapist , gene , molecular dynamics

We analyze the quantum limit to the sensitivity of the detection of small displacements. We focus on the case of free particles and harmonic oscillators as the systems experiencing the displacement. We show that the minimum displacement detectable is proportional to the inverse of the square root of the mean value of the energy in the state experiencing the displacement (Heisenberg limit). We present a measuring scheme that reaches this limit using semiclassical states. We examine the performance of this strategy under realistic practical conditions by computing the effect of imperfections such as losses and nonunit detection efficiencies. This analysis confirms the robustness of this measuring strategy by showing that the experimental imperfections can be suitably compensated by increasing the mean energy of the input state

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